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311011020 = 223251727839
BaseRepresentation
bin10010100010011…
…010011011001100
3210200012222220200
4102202122123030
51114104323040
650510013500
710464356445
oct2242323314
9720188820
10311011020
1114a615201
12881a7290
134c5848b8
142d43c2cc
151c486630
hex1289a6cc

311011020 has 36 divisors (see below), whose sum is σ = 943400640. Its totient is φ = 82936224.

The previous prime is 311011013. The next prime is 311011069. The reversal of 311011020 is 20110113.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3110110202 = 193455709122880800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 311010993 and 311011011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 863740 + ... + 864099.

Almost surely, 2311011020 is an apocalyptic number.

311011020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311011020 is an abundant number, since it is smaller than the sum of its proper divisors (632389620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311011020 is a wasteful number, since it uses less digits than its factorization.

311011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727854 (or 1727849 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 311011020 is about 17635.5045292161. The cubic root of 311011020 is about 677.5248975296.

Adding to 311011020 its reverse (20110113), we get a palindrome (331121133).

The spelling of 311011020 in words is "three hundred eleven million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1727839 3455678 5183517 6911356 8639195 10367034 15550551 17278390 20734068 25917585 31101102 34556780 51835170 62202204 77752755 103670340 155505510 311011020